The number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.
<h3>How to determine the number of ways</h3>
Given the word:
ESTABROK
Then n = 8
p = 6
The formula for permutation without restrictions
P = n! ( n - p + 1)!
P = 8! ( 8 - 6 + 1) !
P = 8! (8 - 7)!
P = 8! (1)!
P = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 × 1
P = 40, 320 ways
Thus, the number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.
Learn more about permutation here:
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3\4a=24 multiply both sides by 4 to get rid of 4(4 x 24=96)
3a=96 divide both sides by 3 to remain with a
a=32
Answer:
a) 5765760
b) 60480
c) 5705280
Step-by-step explanation:
Assuming that order is not important:
Number of women = 7
Number of men = 9
Members of the delegation = 6
a) How many delegations are possible?

b) How many of these delegations have all men?

c) How many of these delegations have at least one woman?

Answer:
no
Step-by-step explanation:
:)